Chapter 7, Problem 17CR

To determine

To find: The number.

Answer to Problem 17CR

  $150$ is the number which $24\%$ is $36$ .

Explanation of Solution

Given information: $36$is $24\%$ of what number?

Calculation: Percent $(\%)$ means ‘out of $100$ ’ and when dealing with percents the word ‘of’ means ‘times or to multiply’.

Let, the number we are looking for is $x$ .

Hence, $24\%$ can be written as $\frac{24}{100}$ , and $24\%\text{ of }x$ can be written as $\frac{24}{100}\times x$ .

Therefore, $36\text{ is }24\%\text{ of }x$ .

Let’s find the value of $x$ ,

  $\begin{array}{c}\frac{24}{100}\times x=36\\ x=\frac{36\times 100}{24}\\ x=\frac{36\times 50}{12}\\ x=3\times 50\\ x=150\end{array}$

Hence, $150$ is the number which $24\%$ is $36$ .